Research on Muons?

I wasn't sure where to post this thread as there are no specific "Project" forums.

I am participating in my high school's Intel program, which is basically a three-year research project on an original experiment. You have to present your findings at the end of senior year for a chance to earn a scholarship.

My school happens to have a muon detector. I am also planning to participate in my local museum's summer program, which would allow me to use computer equipment associated with astrophysics.

Any ideas at all? What can I experiment on using neutrons (that has never been done before)?